Greatest Common Factor of 219/29, 961/45, 233/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 219/29, 961/45, 233/329

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 219/29,961/45,233/329

Given fractions are 219/29,961/45,233/329

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 219,961,233

Greatest Common Factor of Numerators i.e. GCF of 219,961,233 is 1 .

LCM of Denominators means LCM of 29,45,329 as per the given fractions.

LCM of 29,45,329 is 429345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 219,961,233

GCF of Fractions 219/29,961/45,233/329 is 1/429345

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 219,961,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,961,233 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Greatest Common Factor

We found the factors 219,961,233 . The biggest common factor number is the GCF number.
So the greatest common factor 219,961,233 is 1.

Lets's calculate LCM of 29,45,329

Given numbers has no common factors except 1. So, there LCM is their product i.e 429345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429345

Therefore, the GCF of Fractions 219/29,961/45,233/329 is 1/429345

Least Common Multiple of 29,45,329 with GCF Formula

Least Common Multiple of 29,45,329 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 29,45,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,45,329) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,45,329) x common factors =1 x 1 = 1

LCM(29,45,329) = ( 29 × 45 × 329 ) / 1

LCM(29,45,329) = 429345 / 1

LCM(29,45,329) = 429345


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 219/29, 961/45, 233/329

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 219/29, 961/45, 233/329?

Answer: GCF of Numerators as per given numbers 219/29, 961/45, 233/329 is

GCF of Numerators i.e. for 219,961,233 is 1

LCM of denominators i.e. for 29,45,329 is 429345.

Thus, GCF of Fractions is 1/429345.Finally, GCF of Fractions for 219/29, 961/45, 233/329 is 1/429345.